A calculus approach to hyperfunctions I
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Publication:3776065
DOI10.1017/S0027763000002646zbMath0636.46047MaRDI QIDQ3776065
Publication date: 1987
Published in: Nagoya Mathematical Journal (Search for Journal in Brave)
Numerical computation of solutions to systems of equations (65H10) Heat equation (35K05) Hyperfunctions, analytic functionals (46F15) Distributions and ultradistributions as boundary values of analytic functions (46F20)
Related Items (19)
Mehler kernel approach to Fourier ultra-hyperfunctions ⋮ Fourier hyperfunctions as the boundary values of smooth solutions of heat equations ⋮ Distributions of exponential growth with support in a proper convex cone ⋮ A Calculus Approach to Hyperfunctions. II ⋮ Boundary values of holomorphic functions and heat kernel method in translation-invariant distribution spaces ⋮ Pseudodifferential operators with real analytic symbols and approximation methods for pseudodifferential equations ⋮ Hyperfunction quantum field theory: Basic structural results ⋮ A nonlinear theory of infrahyperfunctions ⋮ Solution to the first Cousin problem for vector-valued quasianalytic functions ⋮ The Yang-Mills heat semigroup on three-manifolds with boundary ⋮ A proof of Paley–Wiener theorem for Fourier hyperfunctions with support in a proper convex cone by the heat kernel method ⋮ New distribution spaces associated to translation-invariant Banach spaces ⋮ The action of operator semigroups on the topological dual of the Beurling-Björck space ⋮ A calculus approach to hyperfunctions III ⋮ Harmonic extensions of distributions ⋮ Fourier ultra-hyperfunctions as boundary values of smooth solutions of the heat equation. ⋮ A linear topological invariant for spaces of quasianalytic functions of Roumieu type ⋮ A characterization of distributions of exponential growth with support in a regular closed set ⋮ Non-isotropic Gevrey hypoellipticity for Grushin operators.
Cites Work
- Opérateurs pseudodif[facuteerentiels et classes de gevrey]
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